This device is not really suited, it is a high speed USB3.0 peripheral. You might be able to use it with the right software, but then you are just using the CPU in it.
The way how the Cypress FX series works (and for that matter majority of non-trivial USB-to-something chips do) is that there is a bunch of DMA-capable peripherals inside and the in fact ridiculously underpowered CPU core inside only sets up the required configuration for the DMA transactions to happen.